x +1 x3 +1

Q: 7) (4 pts.) Let D be solid hemisphere z? +y² + z² < 1, 2 2 0. The density function is 6 = 2. We will…

A: Mass of a region E with density ρ M=∫∫∫Eρ dV moments about the XY plane Mxy=∫∫∫Eρz dV z co ordinate…

Q: Find the isolated singularities for the holomorphic functions f, g, h. Determine the types and…

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Q: Evaluate the surface integral fof the scalar feld 1-62+4 where S is the surface parametrised by (u,…

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Q: Find the of(x, y.z)dV A. Q = ((x, y, 2)l(x+y +z =4 and z = x² + y', f(x,y2) =x+y} B. Q= {(x, y, 2)(x…

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Q: 1. Find the area of the region bounded by the given curves. Show the computed areas c sections using…

A: This is a problem of the Application of Integral calculus.

Q: sin 20 tan 0+ sin 0 Prove the identity algebraically for all permissible values of 0 and 2 cos? 0…

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Q: be eigenvectors of the matrix A which corespond to the eigenvalues A, = -1.d = 1, and dy = 2,…

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Q: Employ Crout's decomposition to solve the system. 5x1 - x2 = 9 -x1 + 5x2 – x3 = 4 -x2 + 5x3 = -6

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Q: Calculate the circulation of the field F around the closed curve C. F = (-x - y) i + (x + y) j ,…

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Q: Determine all possible degree sequences fo

A: Isolated vertex:         " A vertex is said to be an isolated vertex if a vertex of degree zero  (no…

Q: Find the approximate root in 5th iterations of the function f (x) = x³ – 2x – 5, xo = 2.5 by a = 2x…

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Q: Name the given quadric surface and give its axis. (b.) Sketch the surface. (c.) Name its trace on y…

A: Given quadratic surface is 100x2+36y2+225z2=900. a  We have to write the name the given quadric…

Q: Given four trapezoids of width 1, calculate the area of the shaded region.

A: To calculate the are of the given region we shall use the following formula: area of a…

Q: 2. Alternating series: a. Consider the series 4 -+-+ - . ... This is a convergent series by the…

A: We will use the basic knowledge of sequence and series to answer this question correctly and…

Q: Let II, be the plane with Cartesian equation z=0. Let II2 be the plane with Cartesian equation x-0.…

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Q: Consider the discrete-time SEIR epidemic model Sn+1 - S, + A - 8 - uS. S.In S„In En+1 - E, + B (u+…

A: We will use the basic knowledge of ordinary differential calculus for linear, homogeneous ODE.…

Q: Can you please explain to me how you went from x^4+1 dydx to x^4+1 (x^3)?

A: Solution

Q: Find a generating the vz-lane for t

A: Given: Given the surface of revolution with the equation x2+y2+z2=e2x. To find: Generating curve on…

Q: Find atleast 1 root for the equation 5x5 + 10x? = 3

A: Introduction: An equation can be described mathematically as a statement that proves the equality of…

Q: System of Linear Equations (Iterative Methods) Iterative methods ave based on successive Improvement…

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Q: (vi) Find an equation of the plane that passes through the line of intersection of the planes x – z…

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Q: (a) Let p EN be a prime number, p # 5, and let n E N. Determine the number of solutions to the…

A: First we shall show that a solution doesn't exists for all primes. For p=11 there is only one…

Q: How many ways are there to assign 100 different diplomats to five different conti- nents if 10…

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Q: 1. Find an equation of a line (in standard form) perpendicular to 2x-y = 1 and passes through (0,…

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Q: Evaluate the following integral in cylindrical coordinates. 5 342/29-x² -x2 -y dy dx dz 5 3/2 /2…

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Q: f (t) =1*b +acosh 21 + bsinh 21 a+b

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Q: (b) Alice and Bob are playing a game of chance consisting of repeated rounds in which each has an…

A: Solution :-

Q: 6. If N< G and G/N is free, prove that there is a subgroup H such that G = HN and HoN= 1. (Use the…

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Q: Problem 3 Solve general solution , using Laplace transform y" - 3y' + 2y e3t y(0) = y'(0) = 0 %3D…

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Q: A7. Jacobsen has a box with 2000 white balls. He also have an unlimited supplies of white, green,…

A: Solution: Part(a) After finitely many operations there are three balls left in the box. At least one…

Q: [5 2 0 similar to B; if no, explain why not. Let B = Is the matrix B orthogonally diagonalizable? If…

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Q: we get 8 X(S) - SYLS) + 0 =0 SX{S)-2YLS)-1 =0 By cross MulHplecation, we get Y(S) O+8 -16+s? Y(S)

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Q: There are two lines through the point (−1, 3) that are tangent to the curve x 2 + 4y 2 − 4x − 8y + 3…

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Q: Let's assume that we have the following system of linear equations Ax = b where 4 3 A = 3 -3 2 4 -2…

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Q: How many ways are there to assign 100 different diplomats to five different conti- nents if 10…

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Q: Justify the hyperbolic function based on the six hyperbolic functions: 1. sinhx coshx

A: To Examine: whether sinhx=coshx or not, using the definition of the hyperbolic function.

Q: Mr Dela Cruz deposited ₱18,980.00 from the project you’ve earned in a time deposit account with your…

A: We know, from compound interest formula  A = P(1+r)t Where P = principal             r= rate of…

Q: 7. 7 Calculate the area of the portion of the sphere x +y +z = 49 between z = 2 and z =V2. 2 2 O A.…

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Q: Solve y' – y sinx = 2 sin x ; y (T/2) = 1 %3D

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Q: Find a walk which solves the Travelling Salesman Problem for the following weighted graph and…

A: Given graph: To find: Calculate the weight of this walk.

Q: Find the result of this indefinite integral of p’dp In (1 - e ) (1- ар)" -V In z = -BE If we know…

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Q: Solve the system of differential equations 17x – 8y ly' 36х — 17у x(0) = – 10, y(0) = – 23 The…

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Q: Find the general form of the equation of the plane containing the point Q(0, –2, 10) and the line l1…

A: The general form of a plane is  ax+by+cz=d  The coefficients a,b,c and d are the constants. Also the…

Q: Give a solution to the system 2 1 - 61 – 10 x(0) by solving the IVP with initial condition y(0) 4…

A: Let  X=xy and A=21-61-10 Then X'=x'y'

Q: Find the approximate root in 5th iterations of the function f (x) = x³ – x – 1, xo = 1.5 by x = Vx…

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Q: (a) Use triple integral in spherical polar coordinates to find the volume of a unit sphere. (b) The…

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Q: fined the genral solution 8) (D; + D,)'u = 0 %3D

A: We have to find the general solution of the given partial differential equation ;…

Q: 3. Find the moving trihedral and the curvature at any point of R(t) = (In(sect), t/V2,t/V2). %3D

A: Introduction: In differential geometry, the Frenet–Serret formulas define the kinematic properties…

Q: Find the coordinate vector for w relative to the basis S= {u1, u2} for R2. uj = (1, 0), u2= (0, 1);…

A: Here we use basic defnition of change of basis coordinate

Q: Problem 4 Solve x Iny lnx dy + dx

A: